Search a number
-
+
99991428510168 = 2332134347443119321
BaseRepresentation
bin10110101111000100010001…
…100100111011000111011000
3111010001002100120112201201100
4112233010101210323013120
5101101224421144311133
6552355232245551400
730030066545525046
oct2657042144730730
9433032316481640
1099991428510168
1129951143693a88
12b26b013115560
1343a41c73aa080
141a9987a6a3396
15b86017038e13
hex5af11193b1d8

99991428510168 has 384 divisors, whose sum is σ = 305464014535680. Its totient is φ = 29345068247040.

The previous prime is 99991428510119. The next prime is 99991428510173. The reversal of 99991428510168 is 86101582419999.

It is a happy number.

99991428510168 is a `hidden beast` number, since 9 + 9 + 9 + 9 + 1 + 42 + 8 + 510 + 1 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 99991428510096 and 99991428510105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 837943948 + ... + 838063268.

It is an arithmetic number, because the mean of its divisors is an integer number (795479204520).

Almost surely, 299991428510168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99991428510168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152732007267840).

99991428510168 is an abundant number, since it is smaller than the sum of its proper divisors (205472586025512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

99991428510168 is a wasteful number, since it uses less digits than its factorization.

99991428510168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119879 (or 119872 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 72.

The spelling of 99991428510168 in words is "ninety-nine trillion, nine hundred ninety-one billion, four hundred twenty-eight million, five hundred ten thousand, one hundred sixty-eight".